The conquest of mexico By facebooker_527383031131845 1491 the first expedition had been directed by francisco hernandez de cordoba when governor diego velasquez ordered it 1492 the conquest of mexico had begun in 1492 when the spaniards arrived on our continet 1519 in 1519 hernan cortez had prepared the third expedition when he decided to sail without permission 1521 in 1521 the ciry of tenochtitlan had fallen when the last tlatoani cuahutemoc was captured 1522 febrary 26 1522 had been the end of the conquest when cahutemoc was shot and hanged 1941 the first expedition had been directed by francisco hernandez de cordoba when governor diego velazquez ordered it